4 places
The fee is 25 Turkish Lira for entry and well worth it. There are many tour guides that will offer you tours for around another 50 Lira, which is worth it only if you are in a big group. The alternative is to purchase the audio tour, which costs only 15 Lira and can be shared amongst friends.
This is a must-see in Istanbul. The beauty of the building, both the interior and exterior are overwhelming. Not as crowded as the Blue Mosque.
Make sure you spend at least one evening at one of the hookah lounges and watch the sunset over the Sultanahmet part of the city where Yeni Cami is at the Bosphorus River's edge. Absolutely stunning.
Do some shopping in the little shop or have a coffee in the nice cafe facing it on the hill slope.